CAIE S2 2011 June — Question 4

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2011
SessionJune
TopicPoisson Distribution
TypeFinding minimum n for P(X=0) threshold

4 On average, 1 in 2500 people have a particular gene.
  1. Use a suitable approximation to find the probability that, in a random sample of 10000 people, more than 3 people have this gene.
  2. The probability that, in a random sample of \(n\) people, none of them has the gene is less than 0.01 . Find the smallest possible value of \(n\).